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Simplifying 2(y + -5) + -3 = 4(y + 1) Reorder the terms: 2(-5 + y) + -3 = 4(y + 1) (-5 * 2 + y * 2) + -3 = 4(y + 1) (-10 + 2y) + -3 = 4(y + 1) Reorder the terms: -10 + -3 + 2y = 4(y + 1) Combine like terms: -10 + -3 = -13 -13 + 2y = 4(y + 1) Reorder the terms: -13 + 2y = 4(1 + y) -13 + 2y = (1 * 4 + y * 4) -13 + 2y = (4 + 4y) Solving -13 + 2y = 4 + 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 + 2y + -4y = 4 + 4y + -4y Combine like terms: 2y + -4y = -2y -13 + -2y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 -13 + -2y = 4 + 0 -13 + -2y = 4 Add '13' to each side of the equation. -13 + 13 + -2y = 4 + 13 Combine like terms: -13 + 13 = 0 0 + -2y = 4 + 13 -2y = 4 + 13 Combine like terms: 4 + 13 = 17 -2y = 17 Divide each side by '-2'. y = -8.5 Simplifying y = -8.5
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