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Simplifying 8(10 + -4y) + 15 = (-1y + -7)(3) (10 * 8 + -4y * 8) + 15 = (-1y + -7)(3) (80 + -32y) + 15 = (-1y + -7)(3) Reorder the terms: 80 + 15 + -32y = (-1y + -7)(3) Combine like terms: 80 + 15 = 95 95 + -32y = (-1y + -7)(3) Reorder the terms: 95 + -32y = (-7 + -1y)(3) Reorder the terms for easier multiplication: 95 + -32y = 3(-7 + -1y) 95 + -32y = (-7 * 3 + -1y * 3) 95 + -32y = (-21 + -3y) Solving 95 + -32y = -21 + -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. 95 + -32y + 3y = -21 + -3y + 3y Combine like terms: -32y + 3y = -29y 95 + -29y = -21 + -3y + 3y Combine like terms: -3y + 3y = 0 95 + -29y = -21 + 0 95 + -29y = -21 Add '-95' to each side of the equation. 95 + -95 + -29y = -21 + -95 Combine like terms: 95 + -95 = 0 0 + -29y = -21 + -95 -29y = -21 + -95 Combine like terms: -21 + -95 = -116 -29y = -116 Divide each side by '-29'. y = 4 Simplifying y = 4
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