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Simplifying -3y + 48 = 3(4y + -4) Reorder the terms: 48 + -3y = 3(4y + -4) Reorder the terms: 48 + -3y = 3(-4 + 4y) 48 + -3y = (-4 * 3 + 4y * 3) 48 + -3y = (-12 + 12y) Solving 48 + -3y = -12 + 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. 48 + -3y + -12y = -12 + 12y + -12y Combine like terms: -3y + -12y = -15y 48 + -15y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 48 + -15y = -12 + 0 48 + -15y = -12 Add '-48' to each side of the equation. 48 + -48 + -15y = -12 + -48 Combine like terms: 48 + -48 = 0 0 + -15y = -12 + -48 -15y = -12 + -48 Combine like terms: -12 + -48 = -60 -15y = -60 Divide each side by '-15'. y = 4 Simplifying y = 4
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