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Simplifying 2 + -9y + 10 = -5 + -7(y + -7) Reorder the terms: 2 + 10 + -9y = -5 + -7(y + -7) Combine like terms: 2 + 10 = 12 12 + -9y = -5 + -7(y + -7) Reorder the terms: 12 + -9y = -5 + -7(-7 + y) 12 + -9y = -5 + (-7 * -7 + y * -7) 12 + -9y = -5 + (49 + -7y) Combine like terms: -5 + 49 = 44 12 + -9y = 44 + -7y Solving 12 + -9y = 44 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 12 + -9y + 7y = 44 + -7y + 7y Combine like terms: -9y + 7y = -2y 12 + -2y = 44 + -7y + 7y Combine like terms: -7y + 7y = 0 12 + -2y = 44 + 0 12 + -2y = 44 Add '-12' to each side of the equation. 12 + -12 + -2y = 44 + -12 Combine like terms: 12 + -12 = 0 0 + -2y = 44 + -12 -2y = 44 + -12 Combine like terms: 44 + -12 = 32 -2y = 32 Divide each side by '-2'. y = -16 Simplifying y = -16
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