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Simplifying 4(y + -2) = 7(y + 1) Reorder the terms: 4(-2 + y) = 7(y + 1) (-2 * 4 + y * 4) = 7(y + 1) (-8 + 4y) = 7(y + 1) Reorder the terms: -8 + 4y = 7(1 + y) -8 + 4y = (1 * 7 + y * 7) -8 + 4y = (7 + 7y) Solving -8 + 4y = 7 + 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. -8 + 4y + -7y = 7 + 7y + -7y Combine like terms: 4y + -7y = -3y -8 + -3y = 7 + 7y + -7y Combine like terms: 7y + -7y = 0 -8 + -3y = 7 + 0 -8 + -3y = 7 Add '8' to each side of the equation. -8 + 8 + -3y = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -3y = 7 + 8 -3y = 7 + 8 Combine like terms: 7 + 8 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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