Multiply (5y – 2) by (3y + 4)
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Answer:
Simplifying
5y + 2 = 3y + -4
Reorder the terms:
2 + 5y = 3y + -4
Reorder the terms:
2 + 5y = -4 + 3y
Solving
2 + 5y = -4 + 3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation.
2 + 5y + -3y = -4 + 3y + -3y
Combine like terms: 5y + -3y = 2y
2 + 2y = -4 + 3y + -3y
Combine like terms: 3y + -3y = 0
2 + 2y = -4 + 0
2 + 2y = -4
Add '-2' to each side of the equation.
2 + -2 + 2y = -4 + -2
Combine like terms: 2 + -2 = 0
0 + 2y = -4 + -2
2y = -4 + -2
Combine like terms: -4 + -2 = -6
2y = -6
Divide each side by '2'.
y = -3
Simplifying
y = -3
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