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Simplifying 3(y + -4) + -5(y + 7) = 2 + -9y Reorder the terms: 3(-4 + y) + -5(y + 7) = 2 + -9y (-4 * 3 + y * 3) + -5(y + 7) = 2 + -9y (-12 + 3y) + -5(y + 7) = 2 + -9y Reorder the terms: -12 + 3y + -5(7 + y) = 2 + -9y -12 + 3y + (7 * -5 + y * -5) = 2 + -9y -12 + 3y + (-35 + -5y) = 2 + -9y Reorder the terms: -12 + -35 + 3y + -5y = 2 + -9y Combine like terms: -12 + -35 = -47 -47 + 3y + -5y = 2 + -9y Combine like terms: 3y + -5y = -2y -47 + -2y = 2 + -9y Solving -47 + -2y = 2 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -47 + -2y + 9y = 2 + -9y + 9y Combine like terms: -2y + 9y = 7y -47 + 7y = 2 + -9y + 9y Combine like terms: -9y + 9y = 0 -47 + 7y = 2 + 0 -47 + 7y = 2 Add '47' to each side of the equation. -47 + 47 + 7y = 2 + 47 Combine like terms: -47 + 47 = 0 0 + 7y = 2 + 47 7y = 2 + 47 Combine like terms: 2 + 47 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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