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Simplifying -3(y + 5) + 2 = 4(y + 2) Reorder the terms: -3(5 + y) + 2 = 4(y + 2) (5 * -3 + y * -3) + 2 = 4(y + 2) (-15 + -3y) + 2 = 4(y + 2) Reorder the terms: -15 + 2 + -3y = 4(y + 2) Combine like terms: -15 + 2 = -13 -13 + -3y = 4(y + 2) Reorder the terms: -13 + -3y = 4(2 + y) -13 + -3y = (2 * 4 + y * 4) -13 + -3y = (8 + 4y) Solving -13 + -3y = 8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -13 + -3y + -4y = 8 + 4y + -4y Combine like terms: -3y + -4y = -7y -13 + -7y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 -13 + -7y = 8 + 0 -13 + -7y = 8 Add '13' to each side of the equation. -13 + 13 + -7y = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -7y = 8 + 13 -7y = 8 + 13 Combine like terms: 8 + 13 = 21 -7y = 21 Divide each side by '-7'. y = -3 Simplifying y = -3
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