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Simplifying 10(y + -2) + -12 = 14(y + -2) Reorder the terms: 10(-2 + y) + -12 = 14(y + -2) (-2 * 10 + y * 10) + -12 = 14(y + -2) (-20 + 10y) + -12 = 14(y + -2) Reorder the terms: -20 + -12 + 10y = 14(y + -2) Combine like terms: -20 + -12 = -32 -32 + 10y = 14(y + -2) Reorder the terms: -32 + 10y = 14(-2 + y) -32 + 10y = (-2 * 14 + y * 14) -32 + 10y = (-28 + 14y) Solving -32 + 10y = -28 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -32 + 10y + -14y = -28 + 14y + -14y Combine like terms: 10y + -14y = -4y -32 + -4y = -28 + 14y + -14y Combine like terms: 14y + -14y = 0 -32 + -4y = -28 + 0 -32 + -4y = -28 Add '32' to each side of the equation. -32 + 32 + -4y = -28 + 32 Combine like terms: -32 + 32 = 0 0 + -4y = -28 + 32 -4y = -28 + 32 Combine like terms: -28 + 32 = 4 -4y = 4 Divide each side by '-4'. y = -1 Simplifying y = -1
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