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Simplifying 3(y + -4) + 5 = 4(y + 2) + -2y + -6 Reorder the terms: 3(-4 + y) + 5 = 4(y + 2) + -2y + -6 (-4 * 3 + y * 3) + 5 = 4(y + 2) + -2y + -6 (-12 + 3y) + 5 = 4(y + 2) + -2y + -6 Reorder the terms: -12 + 5 + 3y = 4(y + 2) + -2y + -6 Combine like terms: -12 + 5 = -7 -7 + 3y = 4(y + 2) + -2y + -6 Reorder the terms: -7 + 3y = 4(2 + y) + -2y + -6 -7 + 3y = (2 * 4 + y * 4) + -2y + -6 -7 + 3y = (8 + 4y) + -2y + -6 Reorder the terms: -7 + 3y = 8 + -6 + 4y + -2y Combine like terms: 8 + -6 = 2 -7 + 3y = 2 + 4y + -2y Combine like terms: 4y + -2y = 2y -7 + 3y = 2 + 2y Solving -7 + 3y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -7 + 3y + -2y = 2 + 2y + -2y Combine like terms: 3y + -2y = 1y -7 + 1y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -7 + 1y = 2 + 0 -7 + 1y = 2 Add '7' to each side of the equation. -7 + 7 + 1y = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1y = 2 + 7 1y = 2 + 7 Combine like terms: 2 + 7 = 9 1y = 9 Divide each side by '1'. y = 9 Simplifying y = 9
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