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Simplifying -3(y + 1) = 4y + -7 + 4(2y + 4) Reorder the terms: -3(1 + y) = 4y + -7 + 4(2y + 4) (1 * -3 + y * -3) = 4y + -7 + 4(2y + 4) (-3 + -3y) = 4y + -7 + 4(2y + 4) Reorder the terms: -3 + -3y = 4y + -7 + 4(4 + 2y) -3 + -3y = 4y + -7 + (4 * 4 + 2y * 4) -3 + -3y = 4y + -7 + (16 + 8y) Reorder the terms: -3 + -3y = -7 + 16 + 4y + 8y Combine like terms: -7 + 16 = 9 -3 + -3y = 9 + 4y + 8y Combine like terms: 4y + 8y = 12y -3 + -3y = 9 + 12y Solving -3 + -3y = 9 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -3 + -3y + -12y = 9 + 12y + -12y Combine like terms: -3y + -12y = -15y -3 + -15y = 9 + 12y + -12y Combine like terms: 12y + -12y = 0 -3 + -15y = 9 + 0 -3 + -15y = 9 Add '3' to each side of the equation. -3 + 3 + -15y = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -15y = 9 + 3 -15y = 9 + 3 Combine like terms: 9 + 3 = 12 -15y = 12 Divide each side by '-15'. y = -0.8 Simplifying y = -0.8
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