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Simplifying 4(y + -3) + 4 = -3(y + 5) Reorder the terms: 4(-3 + y) + 4 = -3(y + 5) (-3 * 4 + y * 4) + 4 = -3(y + 5) (-12 + 4y) + 4 = -3(y + 5) Reorder the terms: -12 + 4 + 4y = -3(y + 5) Combine like terms: -12 + 4 = -8 -8 + 4y = -3(y + 5) Reorder the terms: -8 + 4y = -3(5 + y) -8 + 4y = (5 * -3 + y * -3) -8 + 4y = (-15 + -3y) Solving -8 + 4y = -15 + -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. -8 + 4y + 3y = -15 + -3y + 3y Combine like terms: 4y + 3y = 7y -8 + 7y = -15 + -3y + 3y Combine like terms: -3y + 3y = 0 -8 + 7y = -15 + 0 -8 + 7y = -15 Add '8' to each side of the equation. -8 + 8 + 7y = -15 + 8 Combine like terms: -8 + 8 = 0 0 + 7y = -15 + 8 7y = -15 + 8 Combine like terms: -15 + 8 = -7 7y = -7 Divide each side by '7'. y = -1 Simplifying y = -1
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